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Finding the Fourth Proportional to 65,888, 98,833.20 and 19,145.60

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Solution

The fourth proportional to 65,888, 98,833.20 and 19,145.60 is: 28,718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,888 : 98,833.20 = 19,145.60 : x
  2. Step 2: Convert to fraction form
    65,888/98,833.20 = 19,145.60/x
  3. Step 3: Cross multiply
    65,888x = 98,833.20 × 19,145.60
  4. Step 4: Simplify right side
    65,888x = 1,892,220,913.92
  5. Step 5: Solve for x
    x = 1,892,220,913.92/65,888
  6. Step 6: Final answer
    x = 28,718.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.